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Finding the Fourth Proportional to 447.60, 670.80 and 242.16

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Solution

The fourth proportional to 447.60, 670.80 and 242.16 is: 362.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.60 : 670.80 = 242.16 : x
  2. Step 2: Convert to fraction form
    447.60/670.80 = 242.16/x
  3. Step 3: Cross multiply
    447.60x = 670.80 × 242.16
  4. Step 4: Simplify right side
    447.60x = 162,440.93
  5. Step 5: Solve for x
    x = 162,440.93/447.60
  6. Step 6: Final answer
    x = 362.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.